Line passing through (-4,7) and (1,-3)
No, it does not as long as it follows the rule.
Say you subbed $\displaystyle y_2$ with 7
$\displaystyle y_2$
Then the numerator must be $\displaystyle x_2$ from the same point you subbed $\displaystyle y_2$ first, in this case, it has to be -4.
Regardless which way you put which points in first, you will always get the same answer.
$\displaystyle \frac{7--3}{-4-1}=-2$
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$\displaystyle \frac{-3-7}{1--4}=-2$
To refrain from getting confused, label the points.
$\displaystyle (-4,7)$ and $\displaystyle (1,-3)$
$\displaystyle (x_1,y_1)$ and $\displaystyle (x_2,y_2)$
or
$\displaystyle (-4,7)$ and $\displaystyle (1,-3)$
$\displaystyle (x_2,y_2)$ and $\displaystyle (x_1,y_1)$